11011001011011 has 12 divisors (see below), whose sum is σ = 16059194571888. Its totient is φ = 7269398725104.

The previous prime is 11011001010937. The next prime is 11011001011013. The reversal of 11011001011011 is 11011010011011.

It is not a de Polignac number, because 11011001011011 - 2¹⁴ = 11011000994627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011001010984 and 11011001011002.

It is not an unprimeable number, because it can be changed into a prime (11011001011013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5939050320 + ... + 5939052173.

It is an arithmetic number, because the mean of its divisors is an integer number (1338266214324).

Almost surely, 2^{11011001011011} is an apocalyptic number.

11011001011011 is a deficient number, since it is larger than the sum of its proper divisors (5048193560877).

11011001011011 is a wasteful number, since it uses less digits than its factorization.

11011001011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878102602 (or 11878102599 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011001011011 its reverse (11011010011011), we get a palindrome (22022011022022).

Subtracting 11011001011011 from its reverse (11011010011011), we obtain a square (9000000 = 3000²).

The spelling of 11011001011011 in words is "eleven trillion, eleven billion, one million, eleven thousand, eleven".